Answer:
D) 8,568Step-by-step explanation:
weight = (volume of block - volume of slots) x density of block
= (30 * 20 * 9) - (2 x (10 * 8 * 9)) x 1.7
= (5400 - 1440) x 1.7
= 8,568
Volume is a three-dimensional scalar quantity. The correct option is D, 8568 grams.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the complete block is,
Volume = 36 cm x 20 cm x 9 cm = 6480 cm³
The volume of the opening is,
Volume of the opening = 2 × 10 cm x 8 cm × 9cm = 1440 cm³
Therefore, the weight of the cement block to the nearest gram is,
Weight = (6480 -1440)cm³ × 1.7 gram/cm³
= 8568 grams
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is it possible for two triangles to have the same angle measures but not be congruent?explain.
Answer:
Yes
Step-by-step explanation:
One triangle can be bigger then another and still have the same angle measure.
Yes, it is possible for two triangles to have the same angle measures but not be congruent.
What is congruency?If two triangles are congruent, this means they are the same shape and the same size.
One triangle can be bigger than another and still have the same angle measure. For example, if there are two equilateral triangles all the angles are 60 degrees.
But one triangle is having a side of 10 units and the other triangle is having a side of 20 units means the second triangle is bigger than the first but the angle for both the triangles is 60 degrees.
Therefore, it is possible for two triangles to have the same angle measures but not be congruent.
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what is an equation of the line that passes through the points (-6,2)
and (-6,6)
Which of the following criteria always proves triangles
congruent?
Select all that apply?
(Select all that apply)
Corresponding congruent Angle-Side-Angle
Corresponding congruent Side-Angle-Side
Corresponding congruent Side-Side-Angle
3 congruent sides
2 congruent sides
3 congruent angles
Geometry
Answer:
The correct options are;
3 Congruent sides
Corresponding congruent Angle-Side-Angle
Corresponding congruent Side-Angle-Side
Corresponding congruent Side-Side-Angle
Step-by-step explanation:
The conditions for congruency are;
Two triangles are congruent when
AAS which is the acronym for corresponding Angle-Angle-Side are congruent
SAS which is the acronym for corresponding Side-Angle-Side are congruent
SSS which is the acronym for corresponding Side-Side-Side are congruent
ASA which is the acronym for corresponding Angle-Side-Angle are congruent.
The criteria that always proves triangles
are congruent are;
Option A; Corresponding congruent Angle-Side-Angle
Option A; Corresponding congruent Angle-Side-AngleOption B; Corresponding congruent Side-Angle-Side
Option A; Corresponding congruent Angle-Side-AngleOption B; Corresponding congruent Side-Angle-SideOption D: 3 congruent sides
There are some congruence theorems that prove that two triangles are congruent and they are;
1) SSS; This means Side - Side - Side and it denotes that the 3 corresponding sides of both triangles are congruent.
2) SAS; This denotes Side - Angle - Side and it denotes that the 2 corresponding sides and the included corresponding angle are congruent.
3) ASA; This denotes Angle - Side - Angle and it means that the 2 corresponding angles and the included corresponding side are congruent.
4) AAS; This denotes Angle - Angle - Side and it denotes that the 2 corresponding angles and corresponding non-included side are congruent.
In conclusion, from the options, options A, B & D.
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My brother is wondering what 100÷1,000,000 equals.
Thanks to the patient person who answers this!
Answer:
0.0001
Step-by-step explanation:
Answer: tell your brother 0.0001
Step-by-step explanation:
write each ratio as a fraction in simplest form .
Answer:
1: 1/2 2:4/9 3: 1/5 4: 1/4
Step-by-step explanation:
correct me if im wrong
Answer:
hope my answer helps
Step-by-step explanation:
......
Find the slope.
|(3, 2) and (-5,2)
Answer:
Step-by-step explanation:
Given two points
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
, the slope is defined as
XXX
m
=
Δ
y
Δ
x
=
y
2
−
y
1
x
2
−
x
1
what is the gradient and vertical axis intercept of the linear equation y = 5x + 30
Gradient = Slope = coefficient of x
Thus ;
Gradient = Slope = 5
_________________________________
Vertical axis = y -axis
To find the y-intercept of the equation we must put zero instead of x .
Let's do it.....
[tex]y = 5x + 30[/tex]
[tex]y = 5(0) + 30[/tex]
[tex]y = 30[/tex]
So the y-intercept is 30 .
_________________________________
And we're done.....♥️♥️♥️♥️♥️
Which table represents a linear function?
Answer:
a
Step-by-step explanation:
True or false 1-5 and u don’t really need to explain them that much.
Answer:
3
Step-by-step explanation:
i wont explan
2+2 ajjdbnmsfnksfnbdnsdbcs,mdv bn,zdb xzvndzsmbznx,vsdanvbf
Answer:
I belive the answer would be 4ajjdbnmsfnksfnbdnsdbcs,mdv bn,zdb xzvndzsmbznx,vsdanvbf. : ) ahaha
answer and I’ll leave a good review
Answer:
d
Step-by-step explanation:
g
Answer:
C
Step-by-step explanation:
They are all more in the modern era
y=f(1/3x) & find new coordinates
Answer:
A(-3,0)
B(6,1)
C(15,0)
Step-by-step explanation:
To find the three new coordinates A,B,C we have to find out the equation of the original curve y=f(x) which is shown in the figure. We find that equation by using the turning point (2,1) which is point B and take any other point either A or C which intercept's the x-axis, i took C. We put both these points into the completing square formula of the curve.
[tex]y=a(x-h)^2+k[/tex]
where (h,k) are the turning points (2,1) respectively and C (5,0) corresponds to (x,y)
so the equations becomes
[tex]0=a(5-2)^2+1\\0=a(3)^2+1\\0=9a+1\\-1=9a\\a=\frac{-1}{9}[/tex]
So our equation y=f(x) becomes
[tex]y=-\frac{(x-2)^2}{9}+1[/tex]
now for
[tex]y=f(\frac{x}{3} )[/tex]
we replace the x in the original equation above with x/3 which changes the equation to
[tex]f(\frac{x}{3} )=-\frac{(\frac{x}{3}-2)^2}{9} +1[/tex]
and now we sketch the curve we have our hints for the new points A,B,C our hint is that the original points A and C are the x-intercepts so the new A and C lets name them A' and C' must be the x-intercepts as well and B is the turning point of y=f(x) so the new point B' must be the turning point of y=f(x/3)
so we simply sketch the curve y=f(x/3) use an online graph plotter if you know how to sketch it to save time or if you don't know you can ask me and i'll teach you cause learning to sketch isn't in the question so furthermore we sketch the curve i attached the figure in an image you check it out and the new points as well.
Which transformation maps the pre-image to the
image?
O dilation
O translation
O reflection
O rotation
Solve showing steps. Use Insert equation to get the symbol and Ctrl with . For exponents x2 + 3x - 4 = 0 9x2 + 12x + 4 =0 (leave answer as a fraction) x2 - 2x - 3 = 0 x2 - 6x + 9 = 0 2x2 - 4x - 3 = 0 (round to two decimal places)*
Here all the given equations are in the form of
[tex]ax^2+bx+c=0[/tex]
The value of [tex]x[/tex] can be determined by the perfect square method as follows:
[tex]ax^2+bx+c=0[/tex]
[tex]\Rightarrow x^2+\frac{b}{a}+\frac{c}{a}=0[/tex]
[tex]\Rightarrow x^2+2\times\frac{b}{2a}+\left(\frac{b}{2a}\right)^2-\left(\frac{b}{2a}\right)^2+\frac{c}{a}=0[/tex]
[tex]\Rightarrow \left(x+\frac{b}{2a}\right)^2=\left(\frac{b}{2a}\right)^2-\frac{c}{a}[/tex]
[tex]\Rightarrow x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\;\cdots(i)[/tex]
Now, for [tex]x^2+3x-4=0[/tex]
[tex]a=1, b=3, c=-4[/tex]
So, from equation (i)
[tex]x=\frac{-3\pm\sqrt{3^2-4\times1\times(-4)}}{2\times1}[/tex]
[tex]\Rightarrow x=\frac{3\pm\sqrt{9+16}}{2}[/tex]
[tex]\Rightarrow x=\frac{3\pm5}{2}[/tex]
[tex]\Rightarrow x=\frac{3+5}{2},\frac{3-5}{2}[/tex]
[tex]\Rightarrow x= 4, -1[/tex]
Similarly, for [tex]9x^2+12x+4=0[/tex]
[tex]a=9, b=12, c=4[/tex]
So, from equation (i)
[tex]x=\frac{-12\pm\sqrt{12^2-4\times9\times4}}{2\times9}[/tex]
[tex]\Rightarrow x=\frac{-12\pm0}{18}[/tex]
[tex]\Rightarrow x=\frac{-2}{3}[/tex]
For [tex]x^2-2x-3=0[/tex]
[tex]a=1, b=-2, c=-3[/tex]
[tex]x=\frac{-(-2)\pm\sqrt{(-2)^2-4\times1\times(-3)}}{2\times1}[/tex]
[tex]\Rightarrow x=\frac{2\pm\sqrt{16}}{2}[/tex]
[tex]\Rightarrow x=\frac{2\pm4}{2}[/tex]
[tex]\Rightarrow x=\frac{6}{2},\frac{-2}{2}[/tex]
[tex]\Rightarrow x=3.00, -1.00[/tex]
For [tex]x^2-6x+9=0[/tex]
[tex]a=1, b=-6, c=9[/tex]
[tex]x=\frac{-(-6)\pm\sqrt{(-6)^2-4\times1\times9}}{2\times1}[/tex]
[tex]\Rightarrow x=\frac{6\pm0}{2}[/tex]
[tex]\Rightarrow x=3.00[/tex]
For [tex]2x^2-4x-3=0[/tex]
[tex]a=2, b=-4, c=-3[/tex]
[tex]x=\frac{-(-4)\pm\sqrt{(-4)^2-4\times2\times(-3)}}{2\times2}[/tex]
[tex]\Rightarrow x=\frac{4\pm\sqrt{40}}{4}[/tex]
[tex]\Rightarrow x=\frac{4\pm2\sqrt{10}}{4}[/tex]
[tex]\Rightarrow x=\frac{4+2\sqrt{10}}{4},\frac{4-2\sqrt{10}}{4}[/tex]
[tex]\Rightarrow x=2.58, -0.58[/tex]
x - y = 5 in slope intercept form
Step-by-step explanation:
Hey there!
Given;
x-y = 5
Slope intercept form: y = mx+c.
Now try to make it in y= mx+c form.
Take"-y" to right side and and 5 to left side.
x-5= y
Therefore, y = x-5
Hope it helps..
13. Find g(f(5)) if g(x) = 2x - 7 and F(x) = -4x - 7
Answer:
g(f(5)) = - 61
Step-by-step explanation:
Evaluate f(5) then substitute the value obtained into g(x) , that is
f(5) = - 4(5) - 7 = - 20 - 7 = - 27 , then
g(- 27) = 2(- 27) - 7 = - 54 - 7 = - 61
Given the point D(4,6), what is D' with R-90°
Answer:
D'( -6 , 4).
Step-by-step explanation:
In rotation through 90 degrees from the origin
P(x,y) - P'(-y , x)
D(4 , 6) - D'( -6 , 4).
It's simple
Complete the solution of the equation. Find the
value of y when x equals -8.
3x + 5y = -59
Answer:
y = -7
Step-by-step explanation:
To answer this question, we must first plug in -8 for x:
3(-8) + 5y = -59
-24 + 5y = -59
+24 +24
5y = -35
/5 /5
y = -7
Hope this helps :)
im dumb and answered wrong...
the answer above is right ✅
What is the vertical distance between 580ft above sea level and 200ft below sea level. Help
Answer:
780ft Hope i helped <3
Step-by-step explanation:
Answer:
780 ft
Step-by-step explanation:
you have to think of it as adding the two and not subtracting because they are asking the total distance. The first one is above sea level so it's 580 above sea level. the second one is under sea level so 200 ft under sea level. that means that the total distance if we start from under the sea 200 ft up to the sea level and then another 580 ft to above sea level!
10) Use the equation x2 + 8x = 9 to answer the following questions (1 point for each part, 2 points total). .
a. What number should be added to both sides of the equation to complete the square?
b. Solve for x by completing the square.
Answer:
i might be wrong but i think its 10
Step-by-step explanation:
x2+8x=9
collet terms
10x=9
divide both side by 10
x = 9/10
alternative form
x = 0.9
State the number of complex roots, the number of positive real roots and the number of negative real roots of
x^4-x^3-6x+ 3 =0
9514 1404 393
Answer:
2 complex roots2 positive real roots0 negative real rootsStep-by-step explanation:
The signs of the terms are + - - +. There are two sign changes, so 0 or 2 positive real roots.
Negating the signs of the odd-degree terms, the signs are + + + +. There are no sign changes, so 0 negative real roots.
For x=0, the value of the quartic is +3. For x=1, the value is -3, so we know there are 2 positive real roots, one of which lies in the interval (0, 1).
The 4th-degree polynomial equation must have 4 roots, so the other two must be complex.
2 complex roots2 positive real roots0 negative real roots_____
The roots are approximately 0.489999841592, 2.06573034434, −0.777865092969 ± 1.53582061225i
What is the slope of the line?
-5/2 -2/5 2/5 5/2
what is -5 + -2
Answer:
5/2 it is positive and you always do rise over run.
-5+-2=-7
Step-by-step explanation:
Andrew rents bowling shoes for $4. He bowls 2 games. Andrew spent a total of $22. How much was the cost of each game, b? Complete the bar diagrams, and then solve the problem. Three bar graphs. Top bar on each is Total Spent. Bottom bar on each has 3 sections. The left section is labeled shoe rental, and each of the other sections is labeled cost per game. The cost per game sections are b. The other parts have fill-in boxes. Each game cost .
Answer:
2b + 4 = 22
b= 9, the cost of each game is $9
Step-by-step explanation:
A volleyball player sets a volleyball straight up into the air. The height of the volleyball, , is modeled by this equation, where t represents the time, in seconds, after that ball was set.
The volleyball reaches its maximum height after 0.625 seconds. What is the maximum height of the volleyball?
Answer:
The maximum height of the volleyball is 12.25 feet.
Step-by-step explanation:
The height of the volleyball, h(t), is modeled by this equation, where t represents the time, in seconds, after that ball was set :
....(1)
The volleyball reaches its maximum height after 0.625 seconds.
For maximum height,
Put
Now put t = 0.625 in equation (1)
Hope this helps!!
What is the measure of the angles below?* 8x-3 6.x + 17
Answer:
x = 10
Step-by-step explanation:
Simplifying
8x + -3 = 6x + 17
Reorder the terms:
-3 + 8x = 6x + 17
Reorder the terms:
-3 + 8x = 17 + 6x
Solving
-3 + 8x = 17 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
-3 + 8x + -6x = 17 + 6x + -6x
Combine like terms: 8x + -6x = 2x
-3 + 2x = 17 + 6x + -6x
Combine like terms: 6x + -6x = 0
-3 + 2x = 17 + 0
-3 + 2x = 17
Add '3' to each side of the equation.
-3 + 3 + 2x = 17 + 3
Combine like terms: -3 + 3 = 0
0 + 2x = 17 + 3
2x = 17 + 3
Combine like terms: 17 + 3 = 20
2x = 20
Divide each side by '2'.
x = 10
Simplifying
x = 10
If the coordinates of N are (5,6) and the midpoint of MN is (-1,4) then what are the coordinates of M?
Answer:
m-7 2
Step-by-step explanation:
I very much agree-_-
A tennis ball is hit upward with a velocity of 48 feet per second. Use h(x) = -16x2 + 48x + 400 where h(t) is the
height of the ball after x seconds. Ignoring the height of the tennis player,
21. How long does it take the ball to hit the ground?
a. 1.5 sec
b. 8 sec
c. 6.72 sec
d. 436 sec
22. What is the maximum height reached by the ball? a. 1.5 ft
b. 8 ft
c. 6.72 ft
d. 436 ft
23. At what time does the ball reach the maximum height?
a. 1.5 sec
b. 8 ft
C. 6.72 ft
d. 436 ft
OCT
21
21. C
22. D
23. A
Answer:
...
Step-by-step explanation:
...
What are the x-intercepts of this function? f(x)=-9x^2+3x1
[tex] - 9 {x}^{2} + 3x = 0 [/tex]
[tex]3x( - 3x + 1) = 0[/tex]
[tex]3 x = 0 \\ x = 0[/tex]
And
[tex] - 3x + 1 = 0 \\ - 3x = - 1 \\ x = \frac{ - 1}{ - 3} \\ x = \frac{1}{3} [/tex]
So the x-intercepts are :
[tex]x = 0 \: \: \: \: \: and \: \: \: \: \: x = \frac{1}{3} \\ [/tex]
A delivery service defines a "package" as a parcel for the sum of the length and the girth is less than 70 in (length is the longest side of the package and the girth is the distance around the other two sides of the package) a box has a fixed girth of 24 in. Determine those lengths for which the box is considered a "package"
Answer:
Between 0 and 46 inStep-by-step explanation:
As per definition of the package
g + l < 70 in, where g- girth and l- lengthGiven the value of g
g = 24 inSo the value of l should be
24 + l < 70l < 70 - 24l < 46 inTo be considered a package the length to be less than 46 in
Cabletown charges $5 signup fee and a $0.50 charge per video.
Networkflicks charges a $12 signup fee and a $0.15 charge per video. How
many videos do you need to watch in a month for the two companies to cost
the same?
Given parameters:
Signup fee for Cabletown = $5
Charge per video = $0.50
Sign up fee for Networkflicks = $12
Charge per video = $0.15
Unknown:
The number of videos watched in which the cost of both months will be thesame = ?
Solution:
Let the number of videos= x
Now let us set up algebraic equations to solve this problem;
5 + 0.5x = 12 + 0.15x
Collect like terms and solve;
5 - 12 = 0.15x - 0.5x
-7 = -0.35x
x = 20
The number of videos watched will be 20 videos